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Finding the Fourth Proportional to 12,720.30, 17,549.82 and 7,682.64

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Solution

The fourth proportional to 12,720.30, 17,549.82 and 7,682.64 is: 10,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.30 : 17,549.82 = 7,682.64 : x
  2. Step 2: Convert to fraction form
    12,720.30/17,549.82 = 7,682.64/x
  3. Step 3: Cross multiply
    12,720.30x = 17,549.82 × 7,682.64
  4. Step 4: Simplify right side
    12,720.30x = 134,828,949.12
  5. Step 5: Solve for x
    x = 134,828,949.12/12,720.30
  6. Step 6: Final answer
    x = 10,599.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.